Scheme dependence and the NSVZ β-function

1996/09/11 by I. Jack, D.R.T. Jones, D. R. T. Jones +2 · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0550-3213(96)00637-2

published as Nucl.Phys. B486 (1997) 479-499 · 29 pages, including 4 figures (in 7 files). Plain TeX. Uses Harvmac and epsf

arxiv created 1996/09/11 · openalex publication_date 1997/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the connection between the NSVZ and the DRED forms of the gauge β-function in an N=1 supersymmetric gauge theory. We construct a coupling constant redefinition that relates the two forms up to four loops. By abelian calculations, we are able to infer the complete non-abelian form of β_g^(3)DRED, and also β_g^(4)DRED except for one undetermined parameter.

Citations

• The three-loop SSM β-functions
• N = 1 supersymmetry and the three-loop gauge β-function

Cited by

• Precision gauge unification from extra Yukawa couplings
• The a-function for gauge theories
• Derivation of the exact NSVZ β-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• Duality in a supersymmetric gauge theory from a perturbative viewpoint
• Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
• Renormalisation of the Fayet-Iliopoulos D-term
• The NSVZ β-function and the Schwinger-Dyson equations for N N = 1 SQED with N f flavors, regularized by higher derivatives